Question

Previous Problem List The amounts of restaurant bills and the corresponding amounts of the tips are given in the below. Assume that bill amount is the explanatory variable and tip amount the response variable Bill 97.34 88.01 64.30 70.29 49.72 52.44 Tip 16.00 10.00 7.70 10.00 5.287.00 la Find the correlation: Keep at least 3 digits after the decimal point.) by Does there appear to be a significant correlation A. Yes No (c) The regression equation is write in the form bo+515x, and keep at least 3 digits after the decimal point.) Vay of the amount of the bes 60. the best prediction for the mount of the (Enter your answer in dollars: $ xx.xx) (c) According to the regression equation, for every $10 in or DECREASE n capital letter by the bill the tip should (Enter INCREASE Calculate the proportion of the variability explained by the regression ine (Emner your answer as a percent

Answer 1

a)

coefficient of correlation r=0.916

b) here we are taking r=0.916, N=6 and alpha = 0.05 then by using normal distribution table we get

p value = 0.0102<0.05 ,if p values less than significant value then the correlation appears to be significant

yes is the right answer

C)

the regression line equation y^= 0.17932x-3.28529

d) The amount of the bill is $60 then

Y^=0.17932*60-3.28529=7.4739

y^=7.4739

e) for every $10 increase in the bill the trip should INCREASE

As per HOMEWORKLIB RULES we have to do minimum 4 questions ....thank you